(D^3+D^2+D+1)*y=0

Simple and best practice solution for (D^3+D^2+D+1)*y=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (D^3+D^2+D+1)*y=0 equation: 


Simplifying
(D3 + D2 + D + 1) * y = 0

Reorder the terms:
(1 + D + D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(1 + D + D2 + D3) = 0
(1 * y + D * y + D2 * y + D3 * y) = 0
(1y + yD + yD2 + yD3) = 0

Solving
1y + yD + yD2 + yD3 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + D + D2 + D3) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(1 + D + D2 + D3)' equal to zero and attempt to solve:

Simplifying
1 + D + D2 + D3 = 0

Solving
1 + D + D2 + D3 = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + D + D2 + -1 + D3 = 0 + -1

Reorder the terms:
1 + -1 + D + D2 + D3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + D + D2 + D3 = 0 + -1
D + D2 + D3 = 0 + -1

Combine like terms: 0 + -1 = -1
D + D2 + D3 = -1

Add '-1D' to each side of the equation.
D + D2 + -1D + D3 = -1 + -1D

Reorder the terms:
D + -1D + D2 + D3 = -1 + -1D

Combine like terms: D + -1D = 0
0 + D2 + D3 = -1 + -1D
D2 + D3 = -1 + -1D

Add '-1D2' to each side of the equation.
D2 + -1D2 + D3 = -1 + -1D + -1D2

Combine like terms: D2 + -1D2 = 0
0 + D3 = -1 + -1D + -1D2
D3 = -1 + -1D + -1D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = -1 + -1D + -1D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -1 + -1D + -1D2 + -1D3

Simplifying
0 = -1 + -1D + -1D2 + -1D3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

See similar equations:

| 195x-52=5000 | | 17x-18=3825 | | X^2-9/x-3=0 | | y=-12x^3-7x^2-2x+8 | | (D^2+2D-8)y=0 | | 6y-1=4+5 | | 5c-1-3=16 | | x-10/(x-3)=0 | | X^4-24x^2-25=-25 | | 2sinx+2cosx=tanx+1 | | x+4x+1=x(x+2) | | (x+1)(x+3)(x+3)(x+4)+8=0 | | 7x^2=7y | | 3y^2+3x^2-6y=0 | | x^3-6x^2+12x-3=0 | | log(x)=42 | | (89*0.05)+(96*0.05)+(69*0.10)+(92*0.15)+(91*0.15)+(x*0.5)=95 | | (89*0.05)+(96*0.05)+(60*0.10)+(92*0.15)+(91*0.15)+(x*0.5)=95 | | m^2-5m+1=0 | | 3n+6=2n+4 | | (1/3)^4-5x=27 | | f+f+f+f=f | | 20=6.9x | | 5/2=x-{-3/4} | | 4x+264=13x-6 | | 5(x-6)=78 | | 30=-8v+6(v+2) | | a-(a-1/2)=1-a-2/3 | | -5x+2(x-2)=-16 | | 5y-x+10= | | f(x)=1n(x+3) | | 13(z-4)-3(z-9)-5(z+4)=0 |

Equations solver categories